Squarefree monomial ideals with constant depth function

Abstract

In this paper we study squarefree monomial ideals which have constant depth functions. Edge ideals, matroidal ideals and facet ideals of pure simplicial forests connected in codimension one with this property are classified.

14 pages

References in corpus (4)

• Monomial ideals whose depth function has any given number of strict local maxima
• Persistence and stability properties of powers of ideals
• Monomial localizations and polymatroidal ideals
• Simplicial complexes with rigid depth